Difference between revisions of "Manuals/calci/IMABS"
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| − | <div style="font-size:30px">'''IMABS( | + | <div style="font-size:30px">'''IMABS(ComplexNumber)'''</div><br/> |
| − | * | + | *<math>ComplexNumber</math> is of the form <math>x+iy</math> |
| + | **IMABS(),returns the absolute value (modulus) of a complex number | ||
==Description== | ==Description== | ||
| Line 7: | Line 8: | ||
*Complex number <math>z=x+iy</math>, where <math>x</math> & <math>y</math> are real numbers and <math>i</math> is the imaginary unit <math>i=\sqrt{-1}</math>. | *Complex number <math>z=x+iy</math>, where <math>x</math> & <math>y</math> are real numbers and <math>i</math> is the imaginary unit <math>i=\sqrt{-1}</math>. | ||
*A complex number's absolute value is measured from zero on the complex number plane. | *A complex number's absolute value is measured from zero on the complex number plane. | ||
| − | *We can use COMPLEX function to convert real and imaginary number into a complex number. | + | *We can use [[Manuals/calci/COMPLEX | COMPLEX ]] function to convert real and imaginary number into a complex number. |
*The absolute value of a complex number is: <math>IMABS(z)=|z|=\sqrt{x^2+y^2}</math> | *The absolute value of a complex number is: <math>IMABS(z)=|z|=\sqrt{x^2+y^2}</math> | ||
| + | |||
| + | ==ZOS== | ||
| + | |||
| + | *The syntax is to calculate IMABS in ZOS is <math>IMABS(ComplexNumber)</math>. | ||
| + | **<math>ComplexNumber</math> is of the form <math>x+iy</math>. | ||
| + | **For e.g.,IMABS("5-7i")+IMABS("6+4i") | ||
| + | {{#ev:youtube|h6yVa1aycOg|280|center|Absolute Value of Imaginary Number}} | ||
==Examples== | ==Examples== | ||
| − | *IMABS("6+8i")=10 | + | *IMABS("6+8i") = <math>\sqrt{6^2+8^2}</math> = <math>\sqrt{100}</math> = 10 |
| − | *IMABS("5-7i")=<math>\ | + | *IMABS("5-7i") = <math>\sqrt{74}</math> = 8.602325267042627 |
| − | *IMABS("-3-5i")=<math>\ | + | *IMABS("-3-5i")= <math>\sqrt{34}</math> = 5.830951894845301 |
| + | |||
| + | ==Related Videos== | ||
| + | |||
| + | {{#ev:youtube|yvzyC4VBpUU|280|center|Absolute Value of a Complex Number}} | ||
==See Also== | ==See Also== | ||
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==References== | ==References== | ||
| − | [http://en.wikipedia.org/wiki/Absolute_value | + | [http://en.wikipedia.org/wiki/Absolute_value Absolute Value] |
| + | |||
| + | |||
| + | |||
| + | *[[Z_API_Functions | List of Main Z Functions]] | ||
| + | |||
| + | *[[ Z3 | Z3 home ]] | ||
Latest revision as of 03:07, 23 October 2020
IMABS(ComplexNumber)
- is of the form
- IMABS(),returns the absolute value (modulus) of a complex number
is of the form 
Description
- This function gives the absolute value of a complex number of the form .
- Complex number , where & are real numbers and is the imaginary unit .
- A complex number's absolute value is measured from zero on the complex number plane.
- We can use COMPLEX function to convert real and imaginary number into a complex number.
- The absolute value of a complex number is:
, where 
& 
are real numbers and 
is the imaginary unit 
.
ZOS
- The syntax is to calculate IMABS in ZOS is .
- is of the form .
- For e.g.,IMABS("5-7i")+IMABS("6+4i")
.
Examples
- IMABS("6+8i") = = = 10
- IMABS("5-7i") = = 8.602325267042627
- IMABS("-3-5i")= = 5.830951894845301
= 
= 10
= 8.602325267042627
= 5.830951894845301Related Videos
See Also
References